542304
542,304 is an even composite number composed of four prime numbers multiplied together.
542304 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 542304:
25 × 32 × 7 × 269
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 269)See below for interesting mathematical facts about the number 542304 from the Numbermatics database.
Names of 542304
- Cardinal: 542304 can be written as Five hundred forty-two thousand, three hundred four.
Scientific notation
- Scientific notation: 5.42304 × 105
Factors of 542304
Divisors of 542304
- Number of divisors d(n): 72
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 269 288 336 504 538 672 807 1008 1076 1614 1883 2016 2152 2421 3228 3766 4304 4842 5649 6456 7532 8608 9684 11298 12912 15064 16947 19368 22596 25824 30128 33894 38736 45192 60256 67788 77472 90384 135576 180768 271152 542304
- Sum of all divisors σ(n): 1769040
- Sum of proper divisors (its aliquot sum) s(n): 1226736
- 542304 is an abundant number, because the sum of its proper divisors (1226736) is greater than itself. Its abundance is 684432
Bases of 542304
- Binary: 100001000110011000002
- Hexadecimal: 0x84660
- Base-36: BMG0
Squares and roots of 542304
- 542304 squared (5423042) is 294093628416
- 542304 cubed (5423043) is 159488151064510464
-
The
square root of 542304 is 736.4129276431 -
The
cube root of 542304 is 81.5481793239
Scales and comparisons
How big is 542304?- 542,304 seconds is equal to 6 days, 6 hours, 38 minutes, 24 seconds.
-
To count from 1 to 542,304 would take you about six days.
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 542304 cubic inches would be around 6.8 feet tall.
Recreational maths with 542304
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 542304 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 542304 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/542304/
Chicago style:
Numbermatics. 2024. "Number 542304 - Facts about the integer". https://numbermatics.com/n/542304/
The information we have on file for 542304 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 542304, math, Factors of 542304, curriculum, school, college, exams, university, Prime factorization of 542304, STEM, science, technology, engineering, physics, economics, calculator, five hundred forty-two thousand, three hundred four.